4. Prices (rounded to the closest dollar amount) of men's women's, and children's athletic shoes were compared by obtaining random samples of 18 shoes each. The variances of the samples are homogeneous and the distributions are assumed to be approximately normal. a. Use the information provided to test at a=.050=.05 whether there is a difference is mean shoe prices for the three types of shoes. SSB=2210.1. SSw=5083.4. SSB=2210.1. SSW=5083.4 b. The means for the three groups are as follows: Women's shoes = $48.78; Men's shoes = $60.33; Children's shoes = $45.39. Perform the necessary tests to find where the difference lies. State your overall inference